How to help my anxious labradoodle stop drooling around other dogs?

It could be that Dennis is stressed out from the separation anxiety, and that can cause him to pant a lot and drool excessively as well. If he goes back to normal, I wouldn't be worried, but I would consider using a DAP for him. It's a pheromone diffuser that helps dogs with anxiety, and may calm him down. You can also use a DAP collar, which releases calming pheromones when in contact with his skin. I would see if using those help his anxiety.

Poor daisy! I recommend feeding royal canin calm food and using pheromone products also to help the transition of a new house and new dog and also create a safe indoor kennel with a covered crate, soft bed and pet remedy spray so she has somewhere to go if she needs to. They should make friends over the next few days and once they do the presence of a calmer dog is likely to help

A pheromone collar, such as the Adaptil collar, may help decrease anxiety. Gradual desensitization is also strongly recommended. Calming chews, such as Composure chews (by VetriScience) may help but they are not "magic pills". You will need to modify her behavior. This may require the assistance of a certified trainer.

Since she’s young I don’t recommend any medication. I would go sit with her in the car several times a day, without turning it on. When she gets used to that then sit with her with the car running. When she’s used to that take her for a one or two minute ride only. Gradually she will get used to the movement and get over both the anxiety and car sickness that some dogs get. For small dogs I recommend a booster car seat so they can see out but are secured with a harness to prevent excess movement during the ride. Be patient, the time you spend now will pay off with a dog that enjoys going places in the future. Thanks for using Petco Pet Education Center, formerly Petcoach to help you care for Honey.

Introduce her, gradually, to one dog at a time. Do this on "neutral" ground and start with both dogs at a distance from one another. Decrease the distance day by day, correcting any negative behavior immediately and praising/rewarding good behavior. Once she accepts one dog, add another. Begin again at a distance and get closer each day. A pheromone collar, such as the Adaptil collar, may further decrease anxiety/aggression. Gradually expose her to other dogs and situations. Be patient and be consistent.

Drooling can be a sign of stress or just hyperexcitement, so it could be that the anticipation of going to the park is getting Bamboo very excited (even if it's good excitement rather than fearful.) Taking some time to maybe go to the park, but not go inside it, and offer treats if Bamboo is sitting calmly may help reduce some of the hyper excitement of going to the park. Changing up your routine of going there may also help decrease the behavior. If he does seem very stressed out by going to the park or isn't enjoying it, there are plenty of other activities you can do together to get out energy without causing stress. Some dogs are just not very into dog parks, and finding other more enjoyable activities are just as good.

Consider a pheromone product, such as the Adaptil collar, to help decrease any anxiety. Next, expose her to a "new" person forever increasing periods of time. Praise and reward her as she progresses. It will take time and consistency, so keep at it but don't force her to move on if she gets too worked up.