How do I stop the rain??

Find a splash block that has a back to splash. Place it so it splashes away from you.

Is there room to put an outdoor umbrella up then put it up when it rains? Kind of like this.

https://www.wayfair.com/outdoor/pdp/freeport-park-kayleigh-105-cantilever-umbrella-frpk2023.html?placement=1

I would just install gutters and be done with it. Even if you have to absorb the cost yourself. Gutters are very cheap. As the landlord if you can do this...and do it...maybe split it with your neighbor.

'Just a note about the cantilever umbrella suggested by Shore grandmom: Although it will help to disperse the rain water away from the immediate door area, the small X pole stand will be nowhere heavy enough to prevent the whole umbrella from tipping over and flying away in the slightest wind. You will have to drill holes in the metal then down into the sidewalk, anchoring it with concrete pins.

Unfortunately, I do think think the landlord will allow you to do this.

You could try a rain chain and a collection barrel.... https://www.youtube.com/watch?v=rnTn7n9MRKY

I'm with Sharon ... put in a rain barrel!

I think you want a doorbrella--https://www.homedepot.com/p/Rainhandler-36-in-Brown-Aluminum-Doorbrella-and-Putty-Seal-2-Pieces-DB-B/202546902

Hi Lyn,

I suggest a rainchain. It's decorative and will help to direct the downpour to where you want it to go. Many ideas are available on youtube. Good luck. Your garden is pretty.

Not sure what kind of relationship you have with landlord but you might consider calling the township building safety inspector. Having flooding water like the photos show directly in front of your door are a slip and fall safety risk that the property owner may be required to address. That said - if landlord refuses to install gutters and you want them, do it yourself.