I have the same Fluval 207 filter on my 10 gallon (45l) planted tank and, to be honest, I'm a bit confused by your problems. You mentioned about fitting under your cabinet and I guess size is what it is, not much you can do about that. Except maybe adding right angle or 45' rigid plastic bends to the hoses might perhaps help if the problem is needing to make a sharp turn.
Seems most people wish that they just used normal hose rather than their ribbed stuff for ease of changing to lily pipes etc, but actually I've had no issues with it at all. All connections sealed perfectly first time, no leaks, and the ribs do allow it to bend more than standard pipe (except that it is quite springy and wants to bend back).
Not sure what exactly you mean by air burbs.... you mean that it spits out a cloud of bubbles now and then from the outlet? Or an actual burping sound, and if so, where from? My filter will give out a few plumes of bubbles from the outlet after every time the filter is opened as it clears the air pockets from inside. I normally just tilt the canister side to side, front to back and few times and slowly move the siphon plunger up and down a few times, and that clears it.
My tank is quite shallow (about 25cm from substrate top rim) so the supplied outlet pipe was a bit long. But it's a straight piece of plastic tube, so couldn't have been simpler to shorten to fit. There are 4 suction cups to position each inlet and outlet, two inside the tank and two out. I don't use the two outside as I used a piece of black card for the backdrop so obviously the sucker won't stick, but not had any problem with them staying put. Actually one of the inside suckers came off the outlet pipe last time I did a water change and is currently sat on the bottom awaiting retrieval, but still the outlet holds in place fine, even with only 1 of 4 suckers.
I don't think that the supplied pipe and tank fittings are the prettiest, but they are 100% functional and work well in my experience (I do have a set of glass lily pipes and clear hose to change to, but not yet had chance and there is no real need to change what is working fine).
There are quite a few web pages (and I seem to remember a Youtube video too I watched) describing how to change the hoses to standard types if you need to. Sounds like that's the way to go if you are having issues with those supplied. Personally, I think all of the accessories (including most media) supplied with a new canister filter are only really there to make the unit functional. What you are paying for is the canister itself, and the 207 is a really look little filter. I didn't use the supplied bio-media (put Matrix in instead) and will swap to clear hose and lily pipes when I get chance. But that said, whilst the Fluval tank accessories may not look the prettiest, I have found them to be surprisingly decent in terms of how they work and the black colour means they aren't noticeable in my tank against the black background.
Perhaps you could post a picture of your filter / tank / cupboard setup and someone might be able to suggest how to arrange the setup better? And if you can describe the "air burp" more (e.g. what it is and where it is coming from) then maybe there is an easy fix.
Hope this helps. Honestly, it's a great little filter going by the many online reviews (assume that's what you researched before buying) and in my own experience. Seems like you just might not have something quite right with the hoses yet....