is there like a map (this is my first week of love event)

you have to collect one of each of the ten candy hearts, they drop from fighting ennemy or compleating daily tasks. Once you have acomplished this, select one and click use item, you may get a pet or an avi from it, you can repeat the process as many times as you want as long as you have the supplies. ^-^

You can also get some of the candy hearts from the first and second dungeons each day. If you have gotten to
at least the third section on the map then you can get them from the regular enemies, and sometimes the enemies that stand in place that you have to go find. If you have gotten to the Lost Grove then it's the same thing. Another way to get them is by nurturing eggs and hatchlings in your hatchery or in the help nurture button that can be found in you hatchery.
There is currently a boss that appears in the Lost Grove during this fest you can fight who will sometimes drop the pet eggs. Or you can use the advanced search to find some of the new pets that may be up for sale.
Lastly they have the option for people to buy the eggs for diamonds in the diamond shop, though this takes either trading your gold with other players for the diamonds or spending real money to buy them.

Zeko's answer is very comprehensive, but if you'd like a visual, the areas circles in pink are where enemies could potentially drop hearts. Given your level, you probably haven't gotten there yet. The enemies are lv 55 in Sweet Blossom Orchard, lv 60 in Astryl's Tranquility, and lv 65 in The Lost Grove (though it increases to lv 70).



When you do get there, maps for these areas can be found in this thread:
https://www.sylestia.com/forums/?thread=55519&page=1#2

Let me know if you have any further questions :)

Is there any other way besides those because so far i heard it come from neutering and battles

Nurturing and battling are the primary ways of getting candy hearts which can be combined to give you a week of love pet or an avi item. Collecting candy hearts is the cheapest way to get WoL pets, but you can also buy them from the diamond shop, off the broker, or on advanced search.

Trading with other players is good way to get hearts you don't have, but most players are looking to trade for other hearts, so you'd need to have some in the first place. They can be found on the broker, but last I checked, they're pretty pricey.

Completing daily tasks also get you hearts, but again, they require battling or nurturing:
https://www.sylestia.com/festival/festival_week_of_love/task_log/

Participating in these WoL contests might also get you candy hearts. They're usually the participation prize.
https://www.sylestia.com/forums/?thread=96625
https://www.sylestia.com/forums/?thread=96650
https://www.sylestia.com/forums/?thread=96753
(no guarantees though since they don't announce prizes until the contest is over)


My recommendation is to grind through the early zones until you get to Astryl's Vale because all the mini fests take place in Astryl's Vale zones or the Lost Grove. After Week of Love, we have Fortune Week sometime in March/April so being able to access these zones will allow you to fully participate.