Well the Superchips Blufin remap claims the same 13bhp gain as the AMD remap
The Blufin is a whole £100 cheaper than the AMD, so if you plan to buy/ fit the full Mountune kit in the future, i would go with that, the Blufin can be ordered online, and delivered to your door and you install it yourself, the handset acts as a handy code reader, and you can transfer the Bluefin map free of charge in the 1st year (or sell it to someone else) (so it would still be worth something- the AMD map cannot be transfered to another car (as far as i am aware) and would be over-whitten/ lost if another (re)map is installed (eg the Mountune one)) it has been known that maps have been over-written be Ford dealers during services when installing software updates, some tuners will re-install their remap free-of-charge if this happens
The beauty of the Bluefin remap is it can be un-installed before sending a car in for servicing etc and re-installed afterwards, you can un-install the Blufin "performance" (re)map, and switch it with your original "stock" map, you may wish to do this (temporarily) for many reasons, driving on snow/ ice, lending you rar to friends/ family (not me!) getting your car valerted etc they call this a VALET mode on high- performance cars with this facility
One of the things that is said about the Bluefin remap is it is a "generic" not "custom" and only suitable for stock/ near stock engines, and "custom" remaps - but often so- called "custom" remaps are just generic maps that are bought online and installed by some remappers
here is my experience of bluefin/ Superchips -
I run a Mk3 Mondeo diesel, heavily performance modified, i had a DTUK digital tuning box fitted, with custom remote adjustment, it was set for maximum power/ acceleration, along with the adjustable electronic boost controller
I (finally) bought a secondhand Bluefin for my car and installed it, the engine revved much better at the top end/ at high revs but i was missing low down grunt, (with the tuning box the engine pulled from 1k, very strongly, probably 400Nm kind of strongly) this was missing - i reinstalled the tuning box (with the Blufin map still installed) the car really "shifted" now but still not as much bottom eng grunt as with just the tuning box alone (even with if turned up)
I spoke to Superchips and they uplaoded my map onto thier server to work on, (you connect the Bluefin handset to your pc via USB) they did a revised map with my Modifications (80mm CAIS, gas-flowed airbox, resonator bypass, drag-racing intercooler with waterspray, digital electronic adjustable 2 stage 120PSI boost controller, heatwrapped downpipe/ 2-1/2" decat, - straight-through exhaust, total EGR delete )
When i asked them about the loss of botton end they explained this was to reduce smoke (iw was probably to protect the transmission too) i explained that i was not unduly concerned about a little smoke as i have the EGR removed and a straight-through exhaust (carbon build-up due to smoke is less of a problem) and i did not want the "ultimate power" compromised to reduce smoke, but no unnessesary smoke more than is required for "ultimate power"
Ofen remappers reduce the low-down torque on diesels/ powerful cars, to protect the transmission (some mk3 diesels are restricted in 1st and 2nd for this reason) i explained to Superchips i did not want the map destricted in any way as i have a strengthened transmission (carbon fiber/kevlar clutch with 1/3rd stronger clamping force HD backplate, solid flywheel - no DMF to break)
I downloaded the revised remap a coulpe of days later, it took 3 minites to install on my car apart from at really low revs, there is more power everywhere the engine picks up well and is very strong in the midrange, and better at the "top end" (its a turbodiesel

) than the tuning box alone The car is very fast now
Superchips did all this even though i had bought the Bluefin second-hand (they will do this within 12 months of original "new" purchase or a full paid "reset" as far as im aware) I am probably not one of their "usual" customers - mostly the mods on a mk3 diesel are decat/ exhaust and bigger IC, and thats it, before the remap - they were very helpful with me.
Seems like im a bit Superchips Bluefin "fan" but a AMD one is good too, they can do a "Tailiored" remap taking mods into consideration, and do a before/ after dyno printout (to show your mates/ post up on forums) and may even road test your car to check for problems etc
On balance you are probably better going for the Superchips Bluefin, (especially if you are installing the Mountune kit in the future), if you were going for a different exhaust etc (not Mountune - thats expensive!) a full custom remap with dyno runs etc (from eg AMD) after the phisical mods would probably get the best gains.
A bit of an "epic" post (in size anyway)