https://github.com/Haoming02/sd-webui-mosaic-outpaint for outpainting
Lots of stable diffusion model checkpoints have recommended settings. Here are some of them.
Recommended settings: DPM++ 3M SDE Karras or DPM++ 2M Karras, 20-30 steps, 2.5-5 CFG (or use Dynamic Thresholding), happiest at 640×960 with a hires fix on top, but if you are happy to hunt through seeds to avoid head duplicates, 768×1152 works quite well also.