You can book TP flights on the web site which is quite ok.
I never fill anything in the first place, and I always make up any additional info, it can all be done at a later stage or before check in.
FYI, airlines DO NOT need so many details for a ticket. If you are flying within EU, even less. They need your full name (first name and first last name is enough), an email address and contact phone. That's it. THE DOB, PASSPORT NO, EXP. DATE, NEXT OF KIN, FQTV NO, YOUR SHOE SIZE, YOUR CARRY-ON BRAND AND THE REASON FOR TRAVEL.... ALL THIS IS ILLEGAL!
You can always book a flight via any OTA and chose the cheapest and most convenient combination for you. And even cheaper than those on airllines' own pages!