Tan, I had the same issue with Olivia and with Lexie......they both got mobile in the summer months on tiled floors........

Olivia had a permanent grazed foot (she used to bum shuffle and propel herself along with the side of her foot. It never seemed to bother her, only me!

Lexie is an all terrain baby and a crawling demon at 15 months........her legs and knees and the tops of her feet are always all red.......but again, it bothers me more than it bothers her.........

Charlie crawled through winter, so was always rugged up.....but even he got grazed feet as he would never keep socks on........)