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The floor covering rather depends on what exercises and equipment you will have in your home gym.
In most cases a rubber compound is normally preferred as it is non slip, reduces static, are easy to clean, wash down and offers some cushioning.
If you used rubber floor tiles they would be a lot easier to lay down, easy to replace should you need to at a later date and cost affective.
Two examples of such products would be
Storm Flame - Heavy Duty Interlocking Tiles
Slip Not - Rubber Interlocking Gym Mats
The alternative is to go for rolls of rubber flooring such as the below, however this would be harder to put down, and obviously not very easy to replace.
Slip Not - Rubber Gym Flooring