The R4 is the "older" one that doesn't work on the DSi, but it should be able to play just about anything. The Acekard 2i is one of the newer ones and works on the DSi as well as all the other kinds of DSes.
Yours is an R4, mine's an Acekard. If ToI doesn't work with the R4 then you should get something else soon-ish! I believe SaGa 2 works with both, but I haven't tested it quite yet.
Honestly, there's a bajillion different DS flashcarts on the market but I think the Acekard 2i is the preferred one nowadays. The only thing to look out for are pirated carts which don't work as well or at all. Basically just buy from the most decent-looking sites or ask around about them, if you can.
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Yours is an R4, mine's an Acekard. If ToI doesn't work with the R4 then you should get something else soon-ish! I believe SaGa 2 works with both, but I haven't tested it quite yet.
Honestly, there's a bajillion different DS flashcarts on the market but I think the Acekard 2i is the preferred one nowadays. The only thing to look out for are pirated carts which don't work as well or at all. Basically just buy from the most decent-looking sites or ask around about them, if you can.