Indeed , the MOSFET with dissipate power and get hot during switching, and with an inductive load , such as a motor, switching OFF is the critical part...
However, little has been said about ON-losses due to MOSFET resistance, which should be low. For a MOSFET, that implies a large maximum (drain) current spec. The data for IRF530, state a typical ON drain-source voltage of 1V at only 6A, driven by a 7V gate voltage, yielding 6W of dissipation. Without a sizeable heatsink, that will give you hot MOSFETs, and increased ON-resistance.. in fact thermal runaway may occur, leading to permanent failure! It will also steal power from your motor.
Considering the currents mentioned by 8man1320, the IRF530 is thus a bad choice.
Better with a really low ON-resistance type, like the Fairchild FDU8580 (or IRF3706). It is reasonably priced, housed in a really neat and small TO-251AA package, and will consume around 1W when delivering 10A(!) at 7V gate drive. A truly impressive litte fella! The gate charge at 7V will be around 12nC, much less than for 2 IRF530’s, and easily handled by the TC1411 driver. Even a simple self-made cicuit made from a push-pull emitter follower will do, with bases directly connected to the 8M output. (Try using non-darlington(!) 500mA transistors, like BC337/327 (and many others), and tie the emitters to the 7V supply (pos side) via a 1kohm resistor..).
Now, if the FDU8580 (or IRF3706) is hard to obtain, there are lot of other suitable types. Just search for low ON drain-source resistance (< 20 milliohm), low gate threshold voltage, and even low drain-source voltage ratings!