Right, we've been in Oliwa for over a week and a half now and not even a mention of where we're staying. Villa Ada.
It's a lovely villa, close to local bus and tram routes (less than a minute's walk) and the train line is perhaps a ten minute stroll away and you can get to Gdansk, Sopot and Gdynia from here.
We have secure off road parking (car is behind locked iron gates so is totally safe) and our room is on the ground floor. It is "L" shaped and plenty big enough, with a huge double (and dead comfy) bed in one corner, cable TV at the foot of the bed and a table with two chairs at the far end of the room. Two double glazed windows give a view onto the garden and the side street so it is light, airy and bright.
Naturally there is an en-suite with a shower (powerful and plenty of hot water whenever needed) and all fixtures and fittings look brand new.
We are extremely comfortable here and with networked broadband directly into the room, it offers everything we need to enjoy life here.
There is also an on site Manager (hi, M!) who is fluent in English (thank God, as our Polish is dire at the moment) who is extremely helpful and sees to anything you may need.
If you want more details, here's the link to the site (all in Polish but you can get the gist) and if you check out the photos tab ("Pokoje") that is actually our room!
Villa Ada:- http://www.villaada.pl/index.html
If you mention us, you'll also get a healthy discount, especially if you stay for a few weeks.