Window tiling

For quite some time, I've used XFCE as a DE with a combination of Quicktile and XFCEwm's built-in tiling functions to do basic window tiling:

• Fill the left, right, top or bottom halves of the screen
• Filling top-right, top-left, bottom-left, bottom-right quadrants
• Move a window to the center of the screen
• Vertically maximize a window
• Changing workspaces & sending windows to workspaces

I find that both Quicktile and xfwm have some odd behaviors I don't really care for, some bugs, and ultimately lack a few features I think I would enjoy. So I'd like to give something else a try.

I've never used a tiling WM, and I don't think going full-tile is for me. But perhaps I can steal some features from a tiling WM while maintaining default-floating style behavior and the rest of XFCE.

Can anybody make any recommendations about how to go about doing this? For example, is there a tiling WM that can be configured to float by default, but allow a handful of simple tiling operations as described above?

Much thanks.