Even after 13 years, I still keep going back to my Merkur 34G. It's so comfortable in my hand. Before switching razors, try a more aggressive blade. Experimenting with blades is cheaper than DE. IP reds and Astra SP were fine in my 34 when I shaved every two days. Being retired and shaving every 5-7 days since Covid, I've switched to a RR GameChanger .68. I found their original barberpole handle a bit too long, and recently bought their shorter, thick handle. I also switched to these sharper (but not Feather or yellow 7 O'clock sharp) blades.
+1 on the suggestion of a sharper blade.
Unless the OP is already using a super sharp blade like Feather, BIC, Nacet, 7 O'Clock Super Premium black or PermaSharp Super, even a mild razor can achieve greater efficiency using a sharper blade.
My most aggressive razor is the Muhle R41. However, it is so aggressive that it feels harsh on my face unless I use a less sharp blade like the 7 O'Clock SharpEdge yellow. Although the SharpEdge name implies that it is very sharp, it is really a smooth, mid-sharp blade. I can achieve the same efficiency using a less aggressive razor with a sharper blade. Thus, the R41 stays in the drawer most of the time.
If I put one of the super sharp blade I listed previously in my very mild Weishi made SuperSpeed clone, I can get an excellent shave. Normally, the TTO is reserved for my cleanup pass after using other more efficient razors.