6.0 isn’t too bad. To get it to 7.0, which is what lawns prefer, you’ll need to apply 40 lbs. of pelletized lime per 1,000 sq. ft. Since you have 5,000 sq. ft. that would be 5-40 lb. bags. You shouldn’t nee to apply lime again for 4-5 years after this. Lime can be applied any time of the year…it will take several weeks to correct the pH. Here’s a link to more on pH testing and lime applications.