The Baby Eagle is a semi-clone of the CZ design, based on the Tanfoglio copy. Tanfoglio makes the parts. Many folks feel that the wonderful CZ ergonomics are done just a bit better in the Baby Eagle.
The P-01 you mention is a COMPACT-framed version of the full-sized 75B with a decocker. It's also alloy-framed, rather than carbon steel -- and noticeably lighter.
The SP-01 has a larger magazine. The standard CZ 75B mag and the mag for the SP-01 will fit in the P-01 (and Baby Eagle), but the P-01 mag won't work in the SP-01, as it's too short. The P-01 mag Won't work in your Baby Eagle, either, if it's a full size gun.
Witness-based "compact" mags won't work in the P-01, as they're a bit shorter than the CZ compacts. Be careful when looking for inexpensive mags.
(And, believe it or not, the ProMag mags for the 75B Compact in .40 are very good. About the only ProMag I recommend. If you can't find or afford Mec-Gars or Mec-Gar-made factory mags, those specific ProMags are a good alternative. Many, many CZ compact shooters have used those mags with good success.)