Fairly difficult question to answer IMO. I think any decent razor could last a life time if looked after, even a good £20-£30 vintage from eBay.
Razors are quite subjective and you may find that you would try quite a few before finding something you really like and would want to use exclusively. I've been using a straight for about 18 months and now have 12 of them! I also have a few different strops.
I wouldn't get into the honing side of things to start with as this can get very expensive, there are a few guys on here that could hone them for you, I myself could do this for you, although I'm not as experienced as some of the others.
once you have a shave ready razor you can keep it going for a long time with stropping and pastes (diamond or chromium oxide). if you really want a stone I would suggest a 12k Naniwa for refreshing the edge from time to time.
As for strops, I started on a fairly cheap paddle strop which worked well for me because you can change the face on them, i.e. plain leather or pasted leather. however I do prefer a hanging strop and kept the paddle strop just for pastes.
if I had to use only one of the razors or strops I own it would be either -
Razor - Puma 89 or Friedr Herder 76
Strop - Tony Miller - 3" veg tanned horse hide
hope this is of some help