Hi,
As said before: Tri-X and D76 is a traditional combination. You can't go wrong and there is a lot to learn about/with it.
Just a few remarks:
1)There are several threads here about Kodak as a company changing and selling parts. I don't want to start an OT discussion here (see all the other threads) but there is a possibility that Tri-X might get discontinued or taken over by an other company (changing the formula?). So if you plan to make one film your film for years, Ilford FP4+ (ISO 60 -150) and Ilford HP4+ (ISO 400 - 800) might be a saver choiche.
2) When I started developing film I didn't like powder developers. It didn't desolve always properly (me being clumsy) and it should be mixed best minimal one day before using it. So I switched then to Kodak HC110 because it's a liquid and can be made on the spot. Later I switched to Amaloco 74 and Rodinal.
3) Before choosing one film "for life" I would try several films first in a small test. Try Ilford, Fomapan and Fuji also. However I'm not so sure how long Fuji will make its B&W films either.
Buy three rolls of every interesting type and shoot these types of film in the same settings/on the same subjects. Develop all and print some images of every roll. Priting photos is a better way of testing than scanning negatives.
Then decide what worked best for you and start to learn this type of film-developer in depth first for about a year.
4) There is a nice website
http://filmdev.org/ where you can find examples of many film-developer combinations. I used this site first for my basic "research" to find an other "standerd film" besides Tri-X and decided on testing/learning Ilford FP4+ in several devopers myself. I also checked the many threads on APUG forum and LFP forum on the quality & experiences on these films.
5) Don't forget: whatever you choose, have fun and catch that lightbeam!
Bert
http://thetoadmen.blogspot.nl