The Phoenix R4477 faucet linked is a direct replacement for your faucet. Standard 4" center. The issue with fit is selection of 4" faucets WITH diverter, is limited. But replacement is pretty easy install.
Nice for an inexpensive faucet with shower diverter. I replaced ours last year with one- though I used the R4077, replacing the faucet with diverter for sink and installed separate R0477 for shower. Somewhere theres a thread of install but dont find it.
The advantage, depending on how your shower head is held, would be a bit farther from sink? Most of the faucets with diverter have standard shallow height. Suppose though you might get the benefit of both, using either faucet or head in place.