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Yes, those are aphids! But the good news is that there are several ways to control the outbreak! You can plant companion flowers and herbs around your strawberries to lure and repel bugs. You can use row covers. Or just wipe them off the leaves with a wet paper towel.

Here is an article that will help you:

https://www.gardeningknowhow.com/plant-problems/pests/insects/homemade-aphid-control.htm

It isn't necessary, as they will continue on as usual. It is a way to make the plant, as a whole, grow bigger and faster. My standard protocol for fresh strawberry planting is to pluck flowers for the first year.

Here is an article to help you to grow strawberries to their potential:

https://www.gardeningknowhow.com/edible/fruits/strawberry/growing-strawberry-plants.htm

Strawberries are, best, fed by adding layers of compost each year. They can, also, be fed with a 10-10-10 all purpose fertilizer.

Keep in mind that browning leaves will more than likely be an overwatering issue. Make sure that the soil has plenty of time to dry out, down to a few inches, to allow the roots a chance to breathe. Root suffocation is the most common cause of losing strawberry plants.

Also, keep in mind that zone 9, which is where you are, is the very highest zone that a strawberry can survive. This means that you should expect the plants to die off during the hot summer months, unless these are planted in partial shade, or a shade cloth is put up during the hotter months. Strawberries do not tolerate heat very well.

This article will help you to feed strawberries:

https://www.gardeningknowhow.com/edible/fruits/strawberry/fertilizing-strawberry-plants.htm

This article will help you with the general care of them:

https://www.gardeningknowhow.com/edible/fruits/strawberry/growing-strawberry-plants.htm

This article should help:

https://www.gardeningknowhow.com/edible/fruits/strawberry/strawberry-plants-no-fruit.htm

There are herbicides you can use on the lawn, but I don't know of one that you can use among ornamentals.

Hand pulling and hoeing can be effective over time, but it is hard to pull out all the runners at once. You may want to try "painting" on an herbicide containing glyphosate. That will take longer than just spraying, but may be more effective than hand pulling.

They can't be too tall if you just grew them from seed. Remove leaves as they naturally die out. I suggest planting them outside in the ground and mulching well. They will get new growth in spring.

https://www.gardeningknowhow.com/edible/fruits/strawberry/strawberry-chilling-requirements.htm

https://www.gardeningknowhow.com/edible/fruits/strawberry/mulching-strawberries-in-garden.htm

https://www.gardeningknowhow.com/edible/fruits/strawberry/strawberry-plant-frost-protection.htm

If you are growing them inside over the winter, here is more info:

https://www.gardeningknowhow.com/edible/fruits/strawberry/strawberry-plants-indoors.htm