June
Use the verticutter and scarifier to continue in thatch removal and prevention of thatch build-up. Weed growth may be a problem due to the weather in May, so consider a selective herbicide application. A light nitrogen fertiliser application may be required towards the end of the month.
Basically though it's making sure the wickets are prepared well in advance and that the wickets are used in the sequence that was planned before the start of the season - or at least fairly close to the sequence.
Immediately a game is finished try and carry out and minor repairs as this may enable the wicket to be used again, straight away - depending upon the level of cricket and the length of the match - or at least provide the groundwork for re-using the wicket later in the season, if need be.
July
Besides the continuing preparation of wickets to meet user demands, the square is typically mown on two occasions per week and the outfield once a week. Wickets that had been used and renovated earlier in the season might be able to be re-used again if they have recovered adequately.
Correct watering to a suitable depth, combined with planned rolling will produce a really consolidated playing wicket with excellent bounce. Be careful not to wet just the surface of the wicket and then roll, otherwise the shallow layer that was watered can crack and crumble when rolled.
If not carried out at the end of June, then July is a good time for a light Nitrogen only fertiliser application to the whole square, as this will help maintain sward strength without encouraging unwanted excessive growth.
Towards the end of the month, some wickets will be coming out of use for the few remaining weeks of the season. A head start on some end of season renovation tasks may be considered.