1: Investing in Properties may seem appealing because it raises its Rent, but you should focus on purchasing as many Properties as possible first. This will increase the chances of other players landing on your spaces, and lower the chances of you landing on another player's space. Quantity over quality here.
2: Keep your Dice Cards balanced. Having a smaller selection of spaces you can land on will increase the chances of you landing on another player's space.
3: Tapping on an Event space will give general details about what the next Event will be, so don't forget to check it out when it's your turn.
4: There's a bonus for landing on all spaces in each area, so it might be a good idea to land on the Properties of other players while the Rent is still cheap.
5: For a more advanced strategy, try keeping the Rent low on a Property that is adjacent to another player's. The COM will try to land on the cheaper Properties.