Having an object to grab while walking around is very important for the person. If they have nothing to hold onto when they are walking around they are likely to grab another person's wrist or arm. Their grip is very strong, objects which they grab must be strong and non-breakable.
Providing a variety of interesting objects to grab ranging from soft toys or beach blow up balls will keep the person's attention from targeting other people.
Shampoo bottles of the right shape maybe used in the bathroom. Having grab rails for them to hold will also make the shower task easier as they are more likely to stay still for a shower.